Recursive backstepping stabilization of a wheeled mobile robot

This research is aimed to the development of a dynamic control to enhance the performance of the existing dynamic controllers for mobile robots. System dynamics of the car-like robot with nonholonomic constraints were employed. A backstepping approach for the design of the discontinuous state feedback controller is used for the design of the controller. It is shown that the origin of the closed loop system can be made exponentially stable. The control design is made on the basis of a suitable Lyapunov function candidate. The effectiveness of the proposed approach is tested through simulation on a car-like vehicle mobile robot.